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83459608704 = 2732113641129
BaseRepresentation
bin100110110111010010…
…1001001000010000000
321222102102222101221200
41031232211021002000
52331411124434304
6102201341021200
76013130653233
oct1155645110200
9258372871850
1083459608704
113243885632a
1214212554800
137b40acb764
14407a42141a
15228709ce39
hex136e949080

83459608704 has 96 divisors (see below), whose sum is σ = 242289438300. Its totient is φ = 27573633024.

The previous prime is 83459608693. The next prime is 83459608709. The reversal of 83459608704 is 40780695438.

It can be written as a sum of positive squares in 2 ways, for example, as 76906382400 + 6553226304 = 277320^2 + 80952^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83459608709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190389 + ... + 450740.

Almost surely, 283459608704 is an apocalyptic number.

It is an amenable number.

83459608704 is an abundant number, since it is smaller than the sum of its proper divisors (158829829596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83459608704 is a wasteful number, since it uses less digits than its factorization.

83459608704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641262 (or 641247 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83459608704 in words is "eighty-three billion, four hundred fifty-nine million, six hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 21696 32544 43392 65088 130176 641129 1282258 1923387 2564516 3846774 5129032 5770161 7693548 10258064 11540322 15387096 20516128 23080644 30774192 41032256 46161288 61548384 72447577 82064512 92322576 123096768 144895154 184645152 217342731 246193536 289790308 369290304 434685462 579580616 652028193 738580608 869370924 1159161232 1304056386 1738741848 2318322464 2608112772 3477483696 4636644928 5216225544 6954967392 9273289856 10432451088 13909934784 20864902176 27819869568 41729804352 83459608704